A square matrix A is called orthogonal if
Where A' is the transpose of A.

If a square matrix A is orthogonal as well as symmetric, then

If a square matrix A is orthogonal as well as symmetric, then

A square matrix A is said to be orthogonal if A^T A=I If A is a sqaure matrix of order n and k is a scalar, then |kA|=K^n |A| Also |A^T|=|A| and for any two square matrix A d B of same order \AB|=|A||B| On the basis of abov einformation answer the following question: If A is an orthogonal matrix then (A) A^T is an orthogonal matrix but A^-1 is not an orthogonal matrix (B) A^T is not an orthogonal mastrix but A^-1 is an orthogonal matrix (C) Neither A^T nor A^-1 is an orthogonal matrix (D) Both A^T and A^-1 are orthogonal matices.

A square matrix A is said to be orthogonal if A^T A=I If A is a sqaure matrix of order n and k is a scalar, then |kA|=K^n |A| Also |A^T|=|A| and for any two square matrix A d B of same order \AB|=|A||B| On the basis of abov einformation answer the following question: If A is an orthogonal matrix then (A) A^T is an orthogonal matrix but A^-1 is not an orthogonal matrix (B) A^T is not an orthogonal mastrix but A^-1 is an orthogonal matrix (C) Neither A^T nor A^-1 is an orthogonal matrix (D) Both A^T and A^-1 are orthogonal matices.

If matrix A = ( 1 2 3) , write AA', Where A' is the transpose of matrix A.

Consider the following statements 1. If A' = A, then A is a singular matrix, where A' is the transpose of A. 2. If A is a square matrix such that A^(3) = I , then A is non-singular. Which of the statements guven above is/are correct ?

If matrix A=[1\ 2\ 3],\ write A A' , where A ' is the transpose of matrix A

If square matrix a is orthogonal, then prove that its inverse is also orthogonal.